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Finding the Fourth Proportional to 1,167.12, 1,611.13 and 834.97

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Solution

The fourth proportional to 1,167.12, 1,611.13 and 834.97 is: 1,152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.12 : 1,611.13 = 834.97 : x
  2. Step 2: Convert to fraction form
    1,167.12/1,611.13 = 834.97/x
  3. Step 3: Cross multiply
    1,167.12x = 1,611.13 × 834.97
  4. Step 4: Simplify right side
    1,167.12x = 1,345,245.22
  5. Step 5: Solve for x
    x = 1,345,245.22/1,167.12
  6. Step 6: Final answer
    x = 1,152.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.